{"id":"W2353686205","doi":"","title":"A Method for Constructing Arbitrary 16k-order Franklin Perfect Magic Square","year":2013,"lang":"en","type":"article","venue":"Journal of Hainan Normal University","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Petro-Canada","funders":"","keywords":"Magic square; MAGIC (telescope); Square (algebra); Homogeneous space; Mathematics; Order (exchange); Square number; Combinatorics; Arithmetic; Physics; Geometry; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007156061,0.0001199248,0.0002370183,0.0002700464,0.0002348882,0.00007935524,0.0005559761,0.00007280809,0.00004328382],"category_scores_gemma":[0.00005959794,0.0001067583,0.0002031205,0.0003790377,0.00005605395,0.001021352,0.000132598,0.0002836117,0.000009433154],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004280981,"about_ca_system_score_gemma":0.000153864,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008008357,"about_ca_topic_score_gemma":0.000002887694,"domain_scores_codex":[0.9989581,0.0001358612,0.0002535147,0.0001739874,0.0002163752,0.0002622222],"domain_scores_gemma":[0.9984367,0.0002253992,0.0003345308,0.0001852746,0.0006583545,0.0001596849],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0006014107,0.001018904,0.05026106,0.0005805205,0.0008873579,0.001369411,0.008407796,0.006092963,0.02208931,0.6222269,0.03231533,0.254149],"study_design_scores_gemma":[0.03166827,0.008581245,0.02745081,0.001345861,0.0008008786,0.009323126,0.01957266,0.4521728,0.02193285,0.3224622,0.1006528,0.004036515],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.360897,0.000136301,0.6352506,0.001284014,0.0003884523,0.0001728812,0.000002630992,0.00004223307,0.001825852],"genre_scores_gemma":[0.3505447,0.00001101608,0.6488793,0.0002402686,0.00002282985,1.52944e-7,4.491094e-7,0.000005661405,0.0002955617],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.4460798,"threshold_uncertainty_score":0.4353479,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008517278076527095,"score_gpt":0.2124164542430874,"score_spread":0.2038991761665603,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}